The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 1.60 entrees per order. On a particular Saturday afternoon, a random sample of 40 Noodles orders had a mean number of entrees equal to 1.80 with a standard deviation equal to 1.11. At the 5 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?
(a) Choose the correct null and alternative hypotheses.
a. H0: μ ≤ 1.6 vs. H1: μ > 1.6
b. H0: μ ≥ 1.6 vs. H1: μ < 1.6
c. H0: μ = 1.6 vs. H1: μ ≠ 1.6
(b-1) Calculate the t statistic. (Round your answer to 2 decimal places.)
tcalc
(b-2) Find the p-value. (Round your answer to 4 decimal places.)
(c) Choose the correct conclusion.
Because the p-value is less than .05, we conclude that there has been a significant increase in the average number of entrees per order.
Because the p-value is greater than .05, we conclude that there is no evidence to indicate a significant increase in the average number of entrees per order.